TSTP Solution File: NUM625+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM625+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cwPWMM3OiK true

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 12:42:50 EDT 2023

% Result   : Theorem 1.41s 1.06s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   57 (  20 unt;  20 typ;   0 def)
%            Number of atoms       :   79 (  16 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  186 (  22   ~;  18   |;  12   &; 122   @)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   9 con; 0-3 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xx_type,type,
    xx: $i ).

thf(szDzizrdt0_type,type,
    szDzizrdt0: $i > $i ).

thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(xQ_type,type,
    xQ: $i ).

thf(xP_type,type,
    xP: $i ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

thf(sdtlbdtrb0_type,type,
    sdtlbdtrb0: $i > $i > $i ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(xe_type,type,
    xe: $i ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

thf(xd_type,type,
    xd: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(xO_type,type,
    xO: $i ).

thf(xp_type,type,
    xp: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(m__5348,axiom,
    aElementOf0 @ xx @ xP ).

thf(zip_derived_cl218,plain,
    aElementOf0 @ xx @ xP,
    inference(cnf,[status(esa)],[m__5348]) ).

thf(m__5496,axiom,
    xp = xx ).

thf(zip_derived_cl228,plain,
    xp = xx,
    inference(cnf,[status(esa)],[m__5496]) ).

thf(zip_derived_cl275,plain,
    aElementOf0 @ xp @ xP,
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl228]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl206,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(m__5147,axiom,
    ( xp
    = ( szmzizndt0 @ xQ ) ) ).

thf(zip_derived_cl205,plain,
    ( xp
    = ( szmzizndt0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5147]) ).

thf(zip_derived_cl338,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ xp ) ),
    inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl205]) ).

thf(mDefDiff,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElement0 @ W1 )
        & ( aSet0 @ W0 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( ( W3 != W1 )
                  & ( aElementOf0 @ W3 @ W0 )
                  & ( aElement0 @ W3 ) ) )
            & ( aSet0 @ W2 ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W3: $i,W1: $i,W0: $i] :
      ( ( zip_tseitin_1 @ W3 @ W1 @ W0 )
    <=> ( ( aElement0 @ W3 )
        & ( aElementOf0 @ W3 @ W0 )
        & ( W3 != W1 ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aSet0 @ W0 )
        & ( aElement0 @ W1 ) )
     => ! [W2: $i] :
          ( ( W2
            = ( sdtmndt0 @ W0 @ W1 ) )
        <=> ( ( aSet0 @ W2 )
            & ! [W3: $i] :
                ( ( aElementOf0 @ W3 @ W2 )
              <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( aSet0 @ X0 )
      | ~ ( aElement0 @ X1 )
      | ~ ( aElementOf0 @ X2 @ X3 )
      | ( zip_tseitin_1 @ X2 @ X1 @ X0 )
      | ( X3
       != ( sdtmndt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl660,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSet0 @ xQ )
      | ~ ( aElement0 @ xp )
      | ~ ( aElementOf0 @ X1 @ X0 )
      | ( zip_tseitin_1 @ X1 @ xp @ xQ )
      | ( X0 != xP ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl33]) ).

thf(m__5106,axiom,
    aSubsetOf0 @ xQ @ szNzAzT0 ).

thf(zip_derived_cl203,plain,
    aSubsetOf0 @ xQ @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5106]) ).

thf(mDefSub,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ W0 )
        <=> ( ( aSet0 @ W1 )
            & ! [W2: $i] :
                ( ( aElementOf0 @ W2 @ W1 )
               => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ X1 )
      | ( aSet0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSub]) ).

thf(zip_derived_cl290,plain,
    ( ( aSet0 @ xQ )
    | ~ ( aSet0 @ szNzAzT0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl14]) ).

thf(mNATSet,axiom,
    ( ( isCountable0 @ szNzAzT0 )
    & ( aSet0 @ szNzAzT0 ) ) ).

thf(zip_derived_cl44,plain,
    aSet0 @ szNzAzT0,
    inference(cnf,[status(esa)],[mNATSet]) ).

thf(zip_derived_cl295,plain,
    aSet0 @ xQ,
    inference(demod,[status(thm)],[zip_derived_cl290,zip_derived_cl44]) ).

thf(m__5182,axiom,
    aElementOf0 @ xp @ xO ).

thf(zip_derived_cl209,plain,
    aElementOf0 @ xp @ xO,
    inference(cnf,[status(esa)],[m__5182]) ).

thf(mEOfElem,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ! [W1: $i] :
          ( ( aElementOf0 @ W1 @ W0 )
         => ( aElement0 @ W1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ X1 )
      | ( aElement0 @ X0 )
      | ~ ( aSet0 @ X1 ) ),
    inference(cnf,[status(esa)],[mEOfElem]) ).

thf(zip_derived_cl261,plain,
    ( ( aElement0 @ xp )
    | ~ ( aSet0 @ xO ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl2]) ).

thf(m__4891,axiom,
    ( ( xO
      = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) )
    & ( aSet0 @ xO ) ) ).

thf(zip_derived_cl193,plain,
    aSet0 @ xO,
    inference(cnf,[status(esa)],[m__4891]) ).

thf(zip_derived_cl262,plain,
    aElement0 @ xp,
    inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl193]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X1 @ X0 )
      | ( zip_tseitin_1 @ X1 @ xp @ xQ )
      | ( X0 != xP ) ),
    inference(demod,[status(thm)],[zip_derived_cl660,zip_derived_cl295,zip_derived_cl262]) ).

thf(zip_derived_cl1928,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ xp @ xQ )
      | ~ ( aElementOf0 @ X0 @ xP ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl662]) ).

thf(zip_derived_cl1929,plain,
    zip_tseitin_1 @ xp @ xp @ xQ,
    inference('s_sup-',[status(thm)],[zip_derived_cl275,zip_derived_cl1928]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 != X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i,X1: $i] :
      ~ ( zip_tseitin_1 @ X1 @ X1 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl1936,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl1929,zip_derived_cl241]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM625+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cwPWMM3OiK true
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 10:44:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.30/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.30/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 1.30/0.78  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 1.41/1.06  % Solved by fo/fo8.sh.
% 1.41/1.06  % done 688 iterations in 0.260s
% 1.41/1.06  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/1.06  % SZS output start Refutation
% See solution above
% 1.41/1.06  
% 1.41/1.06  
% 1.41/1.06  % Terminating...
% 2.02/1.14  % Runner terminated.
% 2.10/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------